10645301260044 has 216 divisors, whose sum is σ = 30502627384320. Its totient is φ = 3126503688000.

The previous prime is 10645301259959. The next prime is 10645301260049. The reversal of 10645301260044 is 44006210354601.

10645301260044 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 5 + 3 + 0 + 1 + 2 + 600 + 44 = 666.

It is a super-2 number, since 2×10645301260044² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10645301259990 and 10645301260008.

It is not an unprimeable number, because it can be changed into a prime (10645301260049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17955589 + ... + 18538979.

It is an arithmetic number, because the mean of its divisors is an integer number (141215867520).

Almost surely, 2^{10645301260044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10645301260044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15251313692160).

10645301260044 is an abundant number, since it is smaller than the sum of its proper divisors (19857326124276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10645301260044 is a wasteful number, since it uses less digits than its factorization.

10645301260044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583553 (or 583537 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10645301260044 in words is "ten trillion, six hundred forty-five billion, three hundred one million, two hundred sixty thousand, forty-four".